What type of probability distribution will most likely be used to analyze the number of blue chocolate chips per bag in the following problem? The quality control manager of a candy plant is inspecting a batch of chocolate chip bags. When the production process is in control, the average number of blue chocolate chips per bag is 6.0. The manager is interested in analyzing the probability that any particular bag being inspected has fewer than 5.0 blue chocolate chips.
A) Binomial distribution
B) Poisson distribution
C) Hypergeometric distribution
D) None of the above.

Question

Quizplus · Accepted Answer

The Poisson distribution would be the best choice for analyzing the number of blue chocolate chips per bag in this scenario because it is used to model the number of occurrences of a rare event in a fixed interval of time or space. In this case, the occurrence is the number of blue chocolate chips in a bag, and the interval is the bag itself. The fact that the average number of blue chocolate chips per bag is given as 6.0 also supports the use of a Poisson distribution.

What Type of Probability Distribution Will Most Likely Be Used